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Finding the Third Proportional to 42,901 and 94,527

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Solution

The third proportional to 42,901 and 94,527 is: 208,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,901 : 94,527 = 94,527 : x
  2. Step 2: Convert to fraction form
    42,901/94,527 = 94,527/x
  3. Step 3: Cross multiply
    42,901x = 94,527 × 94,527
  4. Step 4: Simplify right side
    42,901x = 8,935,353,729
  5. Step 5: Solve for x
    x = 8,935,353,729/42,901
  6. Step 6: Final answer
    x = 208,278.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.